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12439392 = 2537107173
BaseRepresentation
bin101111011100…
…111101100000
3212101222122020
4233130331200
511141030032
61122341440
7210506310
oct57347540
925358566
1012439392
117026999
1241ba880
132766cb4
14191b440
15115ab2c
hexbdcf60

12439392 has 96 divisors (see below), whose sum is σ = 37884672. Its totient is φ = 3500544.

The previous prime is 12439387. The next prime is 12439409. The reversal of 12439392 is 29393421.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71818 + ... + 71990.

It is an arithmetic number, because the mean of its divisors is an integer number (394632).

Almost surely, 212439392 is an apocalyptic number.

12439392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12439392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18942336).

12439392 is an abundant number, since it is smaller than the sum of its proper divisors (25445280).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12439392 is a wasteful number, since it uses less digits than its factorization.

12439392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 292 counting only the distinct ones).

The product of its digits is 11664, while the sum is 33.

The square root of 12439392 is about 3526.9522253640. The cubic root of 12439392 is about 231.7037439290.

The spelling of 12439392 in words is "twelve million, four hundred thirty-nine thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 173 214 224 321 336 346 428 519 642 672 692 749 856 1038 1211 1284 1384 1498 1712 2076 2247 2422 2568 2768 2996 3424 3633 4152 4494 4844 5136 5536 5992 7266 8304 8988 9688 10272 11984 14532 16608 17976 18511 19376 23968 29064 35952 37022 38752 55533 58128 71904 74044 111066 116256 129577 148088 222132 259154 296176 388731 444264 518308 592352 777462 888528 1036616 1554924 1777056 2073232 3109848 4146464 6219696 12439392